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204053440 = 2651275021
BaseRepresentation
bin11000010100110…
…01101111000000
3112012221222200211
430022121233000
5404214202230
632125323504
75025265663
oct1412315700
9465858624
10204053440
11a5201408
1258406594
13333762a6
141d1596da
1512daa42a
hexc299bc0

204053440 has 56 divisors (see below), whose sum is σ = 489825792. Its totient is φ = 80962560.

The previous prime is 204053429. The next prime is 204053453. The reversal of 204053440 is 44350402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38130 + ... + 43150.

Almost surely, 2204053440 is an apocalyptic number.

204053440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244912896).

204053440 is an abundant number, since it is smaller than the sum of its proper divisors (285772352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204053440 is a wasteful number, since it uses less digits than its factorization.

204053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 204053440 is about 14284.7275087766. The cubic root of 204053440 is about 588.7279305891.

The spelling of 204053440 in words is "two hundred four million, fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1270 2032 2540 4064 5021 5080 8128 10042 10160 20084 20320 25105 40168 40640 50210 80336 100420 160672 200840 321344 401680 637667 803360 1275334 1606720 2550668 3188335 5101336 6376670 10202672 12753340 20405344 25506680 40810688 51013360 102026720 204053440